Ranking in Swiss system chess team tournaments

Csató, László (2015) Ranking in Swiss system chess team tournaments. Working Paper. Corvinus University of Budapest Faculty of Economics, Budapest.

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The paper uses paired comparison-based scoring procedures for ranking the participants of a Swiss system chess team tournament. We present the main challenges of ranking in Swiss system, the features of individual and team competitions as well as the failures of official lexicographical orders. The tournament is represented as a ranking problem, our model is discussed with respect to the properties of the score, generalized row sum and least squares methods. The proposed procedure is illustrated with a detailed analysis of the two recent chess team European championships. Final rankings are compared by their distances and visualized with multidimensional scaling (MDS). Differences to official ranking are revealed by the decomposition of least squares method. Rankings are evaluated by prediction accuracy, retrodictive performance, and stability. The paper argues for the use of least squares method with a results matrix favoring match points.

Item Type:Monograph (Working Paper)
Series Name:Corvinus Economics Working Papers - CEWP
Series Number / Identification Number:2015/01
Uncontrolled Keywords:paired comparison, ranking, least squares method, Swiss system, chess
JEL classification:D71 - Analysis of Collective Decision-Making: Social Choice; Clubs; Committees; Associations
Divisions:Faculty of Economics > Department of Mathematics
Subjects:Mathematics, Econometrics
Projects:MTA-BCE "Lendület" Strategic Interactions Research Group
ID Code:1830
Deposited By: Ádám Hoffmann
Deposited On:13 Jan 2015 10:28
Last Modified:16 Jan 2015 19:12

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